ra1iBrentonBarrashl ra1iBrentonBarrashl

13-10-2016
Mathematics

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Given parallelogram LMNO with the diagonals intersecting at point P. If MP = 2x - 1 and OP = 3x - 4, find OP

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HomertheGenius HomertheGenius

25-10-2016

The diagonals in parallelogram bisect each other.
M P = O P
2 x - 1 = 3 x - 4
2 x - 3 x = - 4 + 1
- x = - 3
x = 3
OP = 3 x - 4 = 3 * 3 - 4 = 9 - 4 = 5
Answer: OP = 5

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